AP Calculus BC

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 Content
 Essential
Questions
 Skills
 Resources
 Assessment

Limits
 What is a limit?

What is the connection between
limits of functions and the continuity
of a function?
 Evaluating Limits
(i) at a point of continuity
(ii) at points of discontinuity
(iii) involving infinity
(iv) to determine the continuity
of a function

Apply and understand the significance of
the Extreme Value and Intermediate Value Theorems
 Calculus: Concepts and Applications by Paul Foerster.

Limits- Algebraic Approach
Limits Computational.pdf

Limits - Trig
Trig Limits.docx


MAA Calculus Problem for a New Century
 Test

Limits bingo
Limit Bingo Answers.doc

The Derivative
 What is the significance of
instantaneous rates of change?
 Calculate instantaneous rates of change numerically, graphically and algebraically.

Identify and use the limit of the difference quotient to calculate derivatives

Know and use the power rule, product rule, quotient rule, and chain rule.

Use the trig derivatives

Understand the relationship between continuity and differentiability

Find derivatives of implicitly defined relations.